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Only right triangles have hypotenuses.
No because all right triangles have 2 legs and a hypotenuse. The hypotenuse is always longer than either leg so right triangles can't be equilateral triangles.
It is the largest side
This particular theorem states that the sum of the squares of the two sides of a triangle always equals to the square of the hypotenuse or the biggest side of the triangle. It applies only to right triangles. Right triangles have only one right angle and is always opposite to the hypotenuse.
I quote " The square on the hypotenuse of a rightangled triangle..."